DG discretization of optimized Schwarz methods for Maxwell's equations

Mohamed El Bouajaji, Victorita Dolean, Martin J. Gander, Stéphane Lanteri, Ronan Perrussel

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Abstract

We study here optimized Schwarz domain decomposition methods for solving the time-harmonic Maxwell equations discretized by a discontinuous Galerkin (DG) method. Due to the particularity of the latter, a discretization of a more sophisticated Schwarz method is not straightforward. A strategy of discretization is shown in the framework of a DG weak formulation, and the equivalence between multi-domain and single-domain solutions is proved. The proposed discrete framework is then illustrated by some numerical results through the simulation of two-dimensional propagation problems.
Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXI
EditorsJocelyne Erhel, Martin J. Gander, Laurence Halpern, Géraldine Pichot, Taoufik Sassi, Olof Widlund
PublisherSpringer-Verlag
Pages217-225
Number of pages9
Volume98
ISBN (Electronic)9783319057897
ISBN (Print)9783319057880
DOIs
Publication statusPublished - 21 Apr 2014
Event21st International Conference on Domain Decomposition Methods in Science and Engineering, DD 2014 - Rennes, France
Duration: 25 Jun 201229 Jun 2012

Publication series

NameLecture Notes in Computational Science and Engineering
Volume98
ISSN (Print)1439-7358

Conference

Conference21st International Conference on Domain Decomposition Methods in Science and Engineering, DD 2014
CountryFrance
CityRennes
Period25/06/1229/06/12

Keywords

  • dg
  • Schwarz methods
  • Maxwell equations

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